123025320 has 192 divisors, whose sum is σ = 446135040. Its totient is φ = 29145600.

The previous prime is 123025319. The next prime is 123025327. The reversal of 123025320 is 23520321.

It is a super-2 number, since 2×123025320² = 30270458722204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 123025293 and 123025302.

It is not an unprimeable number, because it can be changed into a prime (123025327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185790 + ... + 186450.

It is an arithmetic number, because the mean of its divisors is an integer number (2323620).

Almost surely, 2^123025320 is an apocalyptic number.

123025320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123025320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223067520).

123025320 is an abundant number, since it is smaller than the sum of its proper divisors (323109720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123025320 is a wasteful number, since it uses less digits than its factorization.

123025320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 123025320 is about 11091.6779614268. The cubic root of 123025320 is about 497.3531059629.

Adding to 123025320 its reverse (23520321), we get a palindrome (146545641).

The spelling of 123025320 in words is "one hundred twenty-three million, twenty-five thousand, three hundred twenty".